A survey was conducted two years ago asking college students their top motivations for using a credit card. To determine whether this distribution has changed, you randomly select 425 college students and ask each one what the top motivation is for using a credit card. Can you conclude that there has been a change in the claimed or expected distribution? Use a=0.05. Complete parts (a) through (d). New Survey Frequency, f 112 97 Response Old Survey % Rewards Low rates Cash back Discounts Other 27% 23% 21% 9% 108 48 20% 60 Which hypothesis is the claim? O Ho O Ha (b) Determine the critical value, Yo, and the rejection region. X= (Round to three decimal places as needed.)

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A survey was conducted two years ago asking college students their top motivations for using a credit
card. To determine whether this distribution has changed, you randomly select 425 college students
and ask each one what the top motivation is for using a credit card. Can you conclude that there has
been a change in the claimed or expected distribution? Use a= 0.05. Complete parts (a) through (d).
New Survey
Frequency, f
112
Response
Old Survey %
Rewards
27%
23%
97
Low rates
Cash back
Discounts
Other
21%
108
9%
48
20%
60
Which hypothesis is the claim?
O Ho
Ha
2.
(b) Determine the critical value, Xo, and the rejection region.
Xo = (Round to three decimal places as needed.)
%3D
Choose the correct rejection region below.
Transcribed Image Text:A survey was conducted two years ago asking college students their top motivations for using a credit card. To determine whether this distribution has changed, you randomly select 425 college students and ask each one what the top motivation is for using a credit card. Can you conclude that there has been a change in the claimed or expected distribution? Use a= 0.05. Complete parts (a) through (d). New Survey Frequency, f 112 Response Old Survey % Rewards 27% 23% 97 Low rates Cash back Discounts Other 21% 108 9% 48 20% 60 Which hypothesis is the claim? O Ho Ha 2. (b) Determine the critical value, Xo, and the rejection region. Xo = (Round to three decimal places as needed.) %3D Choose the correct rejection region below.
A survey was conducted two years ago asking college students their top motivations for using a credit
card. To determine whether this distribution has changed, you randomly select 425 college students
and ask each one what the top motivation is for using a credit card. Can you conclude that there has
been a change in the claimed or expected distribution? Use a= 0.05. Complete parts (a) through (d).
New Survey
Frequency, f
112
97
Response
Old Survey %
Rewards
27%
23%
Low rates
Cash back
Discounts
Other
21%
108
9%
48
20%
60
O D. X o
OY= Y H O
2
21
O D. X 2Xo
O C. X <Xo
(c) Calculate the test statistic.
2.
(Round to three decimal places as needed.)
%3D
(d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
the claimed or
enough evidence to conclude that the distribution of motivations
Ho- At the 5% significance level, there
expected distribution.
Transcribed Image Text:A survey was conducted two years ago asking college students their top motivations for using a credit card. To determine whether this distribution has changed, you randomly select 425 college students and ask each one what the top motivation is for using a credit card. Can you conclude that there has been a change in the claimed or expected distribution? Use a= 0.05. Complete parts (a) through (d). New Survey Frequency, f 112 97 Response Old Survey % Rewards 27% 23% Low rates Cash back Discounts Other 21% 108 9% 48 20% 60 O D. X o OY= Y H O 2 21 O D. X 2Xo O C. X <Xo (c) Calculate the test statistic. 2. (Round to three decimal places as needed.) %3D (d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim. the claimed or enough evidence to conclude that the distribution of motivations Ho- At the 5% significance level, there expected distribution.
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